We are given the following marks secured by 25 students in an examinat...
To create a frequency distribution for the given marks of 25 students based on specified class intervals, we follow these steps:
Step 1: Identify Class Intervals
- 20 - 29
- 30 - 39
- 40 - 49
- 50 - 59
- 60 - 69
Step 2: Tally the Marks
We will tally the number of students falling within each class interval based on the provided marks:
- **Class Interval 20 - 29**:
- Marks: 23, 28
- Frequency: 2
- **Class Interval 30 - 39**:
- Marks: 30, 32, 35, 36
- Frequency: 4
- **Class Interval 40 - 49**:
- Marks: 40, 41, 43, 44, 45, 48, 49
- Frequency: 7
- **Class Interval 50 - 59**:
- Marks: 52, 53, 54, 56, 56, 58
- Frequency: 6
- **Class Interval 60 - 69**:
- Marks: 61, 62, 65, 68
- Frequency: 4
Step 3: Construct the Frequency Distribution Table
| Class Interval | Frequency |
|----------------|-----------|
| 20 - 29 | 2 |
| 30 - 39 | 4 |
| 40 - 49 | 7 |
| 50 - 59 | 6 |
| 60 - 69 | 4 |
Step 4: Total Frequency
- Total number of students: 2 + 4 + 7 + 6 + 4 = 23 (Please verify the total marks as there was a discrepancy in the count of students mentioned).
This frequency distribution provides a clear overview of how many students scored within each range, allowing for easier analysis of the performance of the class in the examination.
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